What Secrets Do the Mysterious Tiles in the Cave Hold?

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The mysterious tiles in the cave feature phrases like "AHOY DYE FOOT" and "LUG TUNA BLUBBER," prompting curiosity about their meaning and purpose. The discussion centers on deciphering a potential pattern in the letters of these phrases. Participants express confusion regarding the significance of the tiles and their connection to the cave's environment. There is a call for assistance in uncovering the secrets behind the tiles. The exploration of these cryptic messages suggests a deeper mystery waiting to be solved.
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You are walking in a strange cave and you have no idea where you are or how you got here. As you are walking, you come across some tiles on the floor. They read "AHOY DYE FOOT." Strange.

You pass a second group of tiles which doesn't make much sense. The third pile says "LUG TUNA BLUBBER". You wonder where you would find tuna blubber in this cave, and where you should lug it to.

At that point, you look further down the cave and see that there are many groups of tiles.

How many groups of tiles are there?

at this point the only thing is that there is a pattern with the letters but i can not find it.
 
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I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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